cppdraft_translate/cppdraft/rand/dist/bern/bin.md

[rand.dist.bern.bin]

29 Numerics library [numerics]

29.5 Random number generation [rand]

29.5.9 Random number distribution class templates [rand.dist]

29.5.9.3 Bernoulli distributions [rand.dist.bern]

29.5.9.3.2 Class template binomial_distribution [rand.dist.bern.bin]

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A binomial_distribution random number distribution produces integer values i ≥ 0 distributed according to the discrete probability function in Formula 29.5.

P(i|t,p)=(ti)â‹piâ‹(1−p)t−i(29.5)

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namespace std {templateclass binomial_distribution {public:// typesusing result_type = IntType; using param_type = unspecified; // constructors and reset functions binomial_distribution() : binomial_distribution(1) {}explicit binomial_distribution(IntType t, double p = 0.5); explicit binomial_distribution(const param_type& parm); void reset(); // equality operatorsfriend bool operator==(const binomial_distribution& x, const binomial_distribution& y); // generating functionstemplate result_type operator()(URBG& g); template result_type operator()(URBG& g, const param_type& parm); // property functions IntType t() const; double p() const; param_type param() const; void param(const param_type& parm); result_type min() const; result_type max() const; // inserters and extractorstemplate<class charT, class traits>friend basic_ostream<charT, traits>&operator<<(basic_ostream<charT, traits>& os, const binomial_distribution& x); template<class charT, class traits>friend basic_istream<charT, traits>&operator>>(basic_istream<charT, traits>& is, binomial_distribution& x); };}

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explicit binomial_distribution(IntType t, double p = 0.5);

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Preconditions: 0 ≤ p ≤ 1 and 0 ≤ t.

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Remarks: t and p correspond to the respective parameters of the distribution.

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IntType t() const;

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Returns: The value of the t parameter with which the object was constructed.

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double p() const;

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Returns: The value of the p parameter with which the object was constructed.